The scale factor from the original figure to its copy is 3/2. draw the original figure.
! whenever i get these scales factor problems with fractions in them, i get thrown off..

Observe the second image attached.

Step-by-step explanation:

Assume that each square of the grid has a side length of 1 unit.

Observe the sides of the figure "Copy" of the first image attached. You can notice that the sides have equal lenght:

You know that the scale factor from the original figure to its copy is . This means that you must multiply the sides lengths of the Copy by in order to find the sides lenghts of the Original figure.

Then, since , you get:

Therefore, the side lenghts of the original figure are:

Knowing this, you can draw the original figure (Observe the second image attached).

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

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